(X+3/x-4)+(1/x^2-3x-4)<или равно 0

Question

(X+3/x-4)+(1/x^2-3x-4)<или равно 0

Answer 1

(x+3)/(x-4)+1/(x+1)(x-4)≤0
(x²+x+3x+3+1)/(x+1)(x-4)≤0
(x²+4x+4)/(x+1)(x-4)≤0
(x+2)²/(x+1)(x-4)≤0
x=-2  x=-1  x=4
         +               +                  _                  +
------------[-2]------------(-1)-------------(4)-----------------
x∈(-1;4) U {-2}